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Finding the Third Proportional to 215,017,656.75 and 332,031,930.75

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Solution

The third proportional to 215,017,656.75 and 332,031,930.75 is: 512,726,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,017,656.75 : 332,031,930.75 = 332,031,930.75 : x
  2. Step 2: Convert to fraction form
    215,017,656.75/332,031,930.75 = 332,031,930.75/x
  3. Step 3: Cross multiply
    215,017,656.75x = 332,031,930.75 × 332,031,930.75
  4. Step 4: Simplify right side
    215,017,656.75x = 110,245,203,037,572,800
  5. Step 5: Solve for x
    x = 110,245,203,037,572,800/215,017,656.75
  6. Step 6: Final answer
    x = 512,726,278.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.